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Solve 8x + 10 = 82

The solution of 8x + 10 = 82 is x = 9.

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The lines y = 8x + 10 and y = 82 meet at x = 9468101214406080100120140x = 9y = 8x + 10y = 82
The lines y = 8x + 10 and y = 82 meet at x = 9. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.

    8x+10=828x + 10 = 82
  2. 2

    Subtract 10 from both sides:

    8x+10−10=82−10 ⇒ 8x=728x + 10 - 10 = 82 - 10 \ \Rightarrow\ 8x = 72
  3. 3

    Divide both sides by 8:

    8x8=728 ⇒ x=9\frac{8x}{8} = \frac{72}{8} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    8⋅9+10=72+10=82✓8\cdot9 + 10 = 72 + 10 = 82 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 10 = 82\ \Rightarrow\ x = 9 \]
\[ 8x + 10 = 82 \]
\[ 8x + 10 - 10 = 82 - 10 \ \Rightarrow\ 8x = 72 \]
\[ \frac{8x}{8} = \frac{72}{8} \ \Rightarrow\ x = 9 \]
\[ 8\cdot9 + 10 = 72 + 10 = 82 \checkmark \]

Trying values of x in 8x + 10 = 82

x8x + 10Equals 82?
766no
874no
982yes
1090no
1198no

Questions

What is x in 8x + 10 = 82?

The solution of 8x + 10 = 82 is x = 9.

How do you solve 8x + 10 = 82?

Subtract 10 from both sides to get 8x = 72, then divide both sides by 8 to get x = 9.

How do I check the answer?

Replace x by 9: 8(9) + 10 = 82, which is 82.

Similar equations

    Solve 8x + 10 = 82: x = 9 (steps and check) | WordGPT